I understand that DSB, DMB, and ISB are barriers for prevent reordering of instructions. I also can find lots of very good explanations for each of them, but it is pretty ha
One simple example of a barrier requirement is a spinlock. If you implement a spinlock using compare-and-swap(or LDREX/STREX on ARM) and without a barrier, the processor is allowed to speculatively load values from memory and lazily store computed values to memory, and neither of those are required to happen in the order of the loads/stores in the instruction stream.
The DMB in particular prevents memory access reordering around the DMB. Without DMB, the processor could reorder a store to memory protected by the spinlock after the spinlock is released. Or the processor could read memory protected by the spinlock before the spinlock was actually locked, or while it was locked by a different context.
unixsmurf already pointed it out, but I'll also point you toward Barrier Litmus Tests and Cookbook. It has some pretty good examples of where and why you should use barriers.